CHICAGO (AP) -- Alexander Frolov made the right decision.
After cutting in from the right wing and slipping past Chicago defenseman Johnathan Aitkin, Frolov thought about passing before sliding a shot under the pads of goalie Craig Anderson, who went down to make the save.
"It's a good thing this happened tonight," Frolov said. "First I was going to pass it. Then I brought it to the backhand and then back. It's a great feeling."
Los Angeles hadn't won since beating Edmonton on Dec. 16, going 0-3-9-2 since then.
The goal was the 14th for Frolov, now in his second NHL season.
"I went to try to force (Frolov) to make a play," Anderson said. "He didn't come to the middle and beat me on the short side."
Chicago is now 1-5-0-1 in its last seven games and 5-19-4-5 in its last 33.
"We just got beat one-on-one off the boards," Blackhawks coach Brian Sutter said. "Frolov is one of the most skilled guys in the league."
Derek Armstrong also scored for the Kings. The goal was his first since Nov. 13, and also his first since missing 22 games with a broken right ring finger.
Los Angeles goalie Roman Cechmanek blocked 34 shots, allowing only a goal by Chicago's Alex Zhamnov in the third period.
"Derek Armstrong had his best game since he came back and Roman made some big saves for us," Kings coach Andy Murray said.
Anderson made 20 saves in his first start since being recalled from Norfolk of the AHL on Thursday.
The Blackhawks were 0-for-6 on the power play. The Kings were 0-for-4.
Armstrong put the Kings up 1-0 midway through the second period. Armstrong fired the puck into a half-empty net from the slot after taking a pass from Trent Klatt.
The Kings killed a three-minute Chicago power play -- including a two-man advantage for one minute -- late in the second and early in the third.
Zhamnov tied it 1-all at 5:37 of the third. His low, one-time shot from the top of the slot deflected off the right post and beat Cechmanek on the glove side.